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Finding the Fourth Proportional to 3,149.65, 4,726.61 and 1,300.76

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Solution

The fourth proportional to 3,149.65, 4,726.61 and 1,300.76 is: 1,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.65 : 4,726.61 = 1,300.76 : x
  2. Step 2: Convert to fraction form
    3,149.65/4,726.61 = 1,300.76/x
  3. Step 3: Cross multiply
    3,149.65x = 4,726.61 × 1,300.76
  4. Step 4: Simplify right side
    3,149.65x = 6,148,185.22
  5. Step 5: Solve for x
    x = 6,148,185.22/3,149.65
  6. Step 6: Final answer
    x = 1,952.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.